⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣀⣨⠁⠀⢀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠊⣠⣤⣤⣠⣶⠶⣄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠄⠀⠀⠄⠀⠑⡀⠀⢉⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠁⠀⠀⠀⠀⠈⠀⠀⠐⡀⠀⢂⠐⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠈⠍⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠦⣃⠀⠌⡀⠀⠸⣯⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠰⣇⣘⣠⠄⠀⠀⠔⠚⠛⠻⣙⡇⠠⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢢⠀⠀⢒⠫⠊⠁⡉⠉⠈⠀⠐⠐⣒⡤⠀⡘⠀⢸⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢸⡀⠀⢘⢦⠨⠁⠀⠀⠀⠀⠀⠀⠉⣠⠕⡄⢀⡞⠁⠭⠞⢠⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠁⡇⠀⢀⣾⣵⣀⠀⠀⠀⠀⠀⣀⠄⠘⢠⠒⣺⠀⠀⠀⠀⡘⡻⣷⠢⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢌⢰⡉⠁⣰⣾⣿⣿⣿⣿⢀⢁⡖⣖⠋⣽⠀⡅⡼⠦⣿⡧⠄⠠⠄⠀⠈⠈⠌⠅⠀⠀
⠀⠀⠀⠀⠀⠀⠐⢀⠀⠉⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣍⠈⣻⣿⣷⠀⠀⡇⠿⠇⠐⢀⠀⠀⠀⠈⣳⣷⠀⠀
⠀⠀⠀⠀⢠⢿⣦⢀⢀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢈⣿⣿⣿⠀⢸⣿⡜⢈⠊⢀⠀⠠⠀⠔⠌⡇⠀⠀
⠀⠀⢀⣤⣿⡘⢕⣼⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠉⢻⣿⣿⠀⣿⡻⠓⡖⠄⠊⠆⠀⠀⠄⠊⠀⠀⠀